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Simplifying 5n + -2n + 8 = 12 + 4n Reorder the terms: 8 + 5n + -2n = 12 + 4n Combine like terms: 5n + -2n = 3n 8 + 3n = 12 + 4n Solving 8 + 3n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 8 + 3n + -4n = 12 + 4n + -4n Combine like terms: 3n + -4n = -1n 8 + -1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -1n = 12 + 0 8 + -1n = 12 Add '-8' to each side of the equation. 8 + -8 + -1n = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 12 + -8 -1n = 12 + -8 Combine like terms: 12 + -8 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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